Rate of convergence towards hartree dynamics for singular potential특이 포텐셜 하에서 하트리 동역학으로의 수렴 정도
We consider a time evolution system of Including references Bosons with two-body interaction with higher singularity than Coulomb. We show that Including references-body Schrodinger equation in the mean-field regime evolutes towards the nonlinear Hartree dynamics with order of O(1/N), for each fixed time. We used a decay estimate of Hartree evolution to show this rate of convergence.
- Advisors
- Lee, Jii Oonresearcher; 이지운researcher
- Description
- 한국과학기술원 :수리과학과,
- Publisher
- 한국과학기술원
- Issue Date
- 2016
- Identifier
- 325007
- Language
- eng
- Description
학위논문(석사) - 한국과학기술원 : 수리과학과, 2016.2 ,[ii, 18 p. :]
- Keywords
Hartree equation; Schrdinger equation; Bose-Einstein condensation; Fock space; rate of convergence; 하트리 방정식; 슈뢰딩거 방정식; 보즈-아인슈타인 응축; 포크공간; 수렴 정도
- Appears in Collection
- MA-Theses_Master(석사논문)
- Files in This Item
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.